Grade 4 math massachusetts 10

Reference Materials and Tools Each student taking the grade 4 Mathematics test was provided with a plastic ruler and a grade 4 Mathematics Tool Kit.. Mark your answers to these questions

X Mathematics, Grade 4

The spring 2010 grade 4 MCAS Mathematics test was based on learning standards in the Massachusetts

Mathematics Curriculum Framework (2000) The Framework identifies five major content strands,

listed below Page numbers for the grades 3–4 learning standards appear in parentheses.

■ Number Sense and Operations (Framework, pages 22–23)

■ Patterns, Relations, and Algebra (Framework, page 32)

■ Geometry (Framework, page 40)

■ Measurement (Framework, page 48)

■ Data Analysis, Statistics, and Probability (Framework, page 56)

The Mathematics Curriculum Framework is available on the Department website at

www.doe.mass.edu/frameworks/current.html.

In test item analysis reports and on the Subject Area Subscore pages of the MCAS School Reports and

District Reports, Mathematics test results are reported under five MCAS reporting categories, which are

identical to the five Mathematics Curriculum Framework content strands listed above.

Test Sessions

The MCAS grade 4 Mathematics test included two separate test sessions Each session included multiple-choice, short-answer, and open-response questions Approximately half of the common test items are shown on the following pages as they appeared in test booklets.

Reference Materials and Tools

Each student taking the grade 4 Mathematics test was provided with a plastic ruler and a grade 4 Mathematics Tool Kit A copy of the tool kit pieces used by students to answer question 9 immediately follows the last question in this chapter An image of the ruler is not reproduced in this publication The use of bilingual word-to-word dictionaries was allowed for current and former limited English proficient students only, during both Mathematics test sessions No calculators, other reference tools, or materials were allowed

Cross-Reference Information

The tables at the conclusion of this chapter indicate each released and unreleased common item’s reporting category and the framework learning standard it assesses The correct answers for released multiple-choice and short-answer questions are also displayed in the released item table.

Mathematics

You may use your tool kit and MCAS ruler during this session

You may not use a calculator during this session.

DIRECTIONS

This session contains nine multiple-choice questions, two short-answer questions, and one open-response question Mark your answers to these questions in the spaces provided in your Student Answer Booklet.

ID:218874 D Common EQ

 ●1 The table below shows the populations

of three cities

Populations of Three Cities

City Population

Jackson 63,203

Middleville ?

Carson 89,468

The population of Middleville is greater

than the population of Jackson and is

less than the population of Carson.

Which of the following could be the

population of Middleville?

A 62,785

B 89,524

C 60,300

D 84,680

ID:258226 A Common EQ

 ●2 There are 6 stickers on each page of

Miguel’s sticker book

Which expression represents the number

of stickers on  pages of Miguel’s sticker book?

A 6  

B 6  

C 6  

D 6  

ID:218948 SBS4008-pitcher.eps A Common

 ●3 Fredric wants to measure how much

water the pitcher shown below can hold

Which of the following units of

measurement should he use?

A liter

B meter

C kilogram

D centimeter

ID:247515 EBH480_paper.eps B Common EQ

 ●4 Each rectangle below is divided into

8 equal parts Altogether the shaded parts of the rectangles represent 11

8 .

Which of the following is another way

to write 11

8 ?

A 88

B 9

8

C 108

D 11

8

ID:270620 C Common

 ●5 Todd is exactly 6 years older than

Rita If t represents Todd’s age and

r represents Rita’s age, which of the

following is always a true statement?

A t  6

B r  6

C t  r

D r  t

ID:250515 C Common

 ●6 Angelina made the input-output table

below

Input 6 18 24 30 36

Output 2 6 ? 10 12

What is the output when the input is 24?

A 3

B 7

C 8

D 9

Questions 7 and 8 are short-answer questions Write your answers to these questions in the boxes provided in your Student Answer Booklet Do not write your answers in this test booklet You may do your figuring in the test booklet.

ID:227496 EBH261_triangle.eps, Peri Common

Use your MCAS ruler to answer question 7.

 ●7 What is the perimeter, to the nearest centimeter, of the triangle below?

Perimeter is the distance around

a shape

ID:227873 Common

 ●8 What is 98,257 rounded to the nearest 1,000?

Question 9 is an open-response question

• BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.

• Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.

• If you do the work in your head, explain in writing how you did the work.

Write your answer to question 9 in the space provided in your Student Answer Booklet.

ID:258261 EBH1096_pentagon_sg_01.ep Common

Use the pieces labeled 1, 2, 3, 4, and 5 from your tool kit to answer question 9.

 ●9 For all parts of this question, the tool kit pieces should be lying flat on your desk with the

labeled sides facing up

a Put pieces 1 and 3 together so that a side labeled x matches up to a side labeled o The

pieces should touch but not overlap What polygon did you make? Explain how you know

b Put pieces 2 and 4 together so that they make the same polygon you made in part (a)

In your Student Answer Booklet, trace or draw each piece to show how the pieces go together to make the polygon Label each piece in your drawing with the correct number

c Explain how you know the polygon you made in part (a) is congruent to the polygon you made in part (b)

d Which two pieces can be put together without overlapping to make a rectangle? In your

Student Answer Booklet, trace or draw each piece to show how the pieces go together to make a rectangle Label each piece in your drawing with the correct number

Mark your answers to multiple-choice questions 10 through 12 in the spaces provided in your Student Answer Booklet Do not write your answers in this test booklet You may do your figuring in the test booklet.

ID:258198 D Common

 ●10 The chart below shows the numbers of

markers in the desks of some students

Markers in Desks

Student Number of Markers

Sanjay 12

Tommy 9

Which two students have a number of

markers that could be shared equally

among three students?

A Lynn and Hana

B Lynn and Tommy

C Sanjay and Lynn

D Sanjay and Tommy

ID:258233 B Common EQ

 ●11 Janica uses 1 ink cartridge to print

75 pictures

How many ink cartridges will Janica use

to print 750 pictures?

A 7

B 10

C 75

D 100

ID:258220 B Common

 ●12 Hoshi is 139 centimeters tall Her father

is 171 centimeters tall

Which of the following has a value that is closest to the difference between Hoshi’s height and her father’s height?

A 170 130

B 170 140

C 180 130

D 180 140

Mathematics

You may use your tool kit and MCAS ruler during this session

You may not use a calculator during this session.

DIRECTIONS

This session contains seven multiple-choice questions, one short-answer question, and one open-response question Mark your answers to these questions in the spaces provided in your Student Answer Booklet.

ID:258294 EBH1082_foot_length.eps D Common EQ

 ●13 The line plot below shows the numbers

of books Marla’s classmates read over

the summer

6 7 8 9

X

X

X X X

X

X X X X

X X

X X X X

X X

X X X

X

Number of Books Read over the Summer

11 10

Marla read 8 books

Based on the line plot, how many of

her classmates read fewer books than

Marla read?

A 6

B 7

C 8

D 9

ID:258200 EBH996_bags_marbles.eps [ C Common

 ●14 Mr Garcia had 40 marbles He divided the marbles equally among 8 students by putting the

marbles in bags

Which model shows how the 40 marbles were divided?

A

B

C

D

ID:222019 D Common

 ●15 Which of the following shows sixty-two

thousand, nine hundred thirteen written in

standard form?

A 62,000,913

B 6,200,913

C 620,913

D 62,913

ID:227590 AL4211.eps C Common

 ●16 Leon’s number machine follows the

same rule each time he puts in a number When Leon put in the number 1, the number 2 came out, as shown below

Number

In + 5

6 ÷ 3 Number

Out

2 1

Leon puts the number 10 into his machine

What number will come out?

A 20

B 15

C 5

D 2

ID:250538 Common

 ●17 What is the value of  that makes the number sentence below true?

 6  6

Question 17 is a short-answer question Write your answer to this question in the box provided

in your Student Answer Booklet Do not write your answer in this test booklet You may do your figuring in the test booklet.

Question 18 is an open-response question

• BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.

• Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.

• If you do the work in your head, explain in writing how you did the work.

Write your answer to question 18 in the space provided in your Student Answer Booklet.

ID:258303 SEB_401_raisin_graph.eps Common

 ●18 Four children each have a bag of grapes The table below shows the number of grapes in each

child’s bag

Grapes in Bags

Child Number of Grapes

a Use the information in the table to make a bar graph

• Be sure to label your graph and include a title.

• Your scale must be greater than 1.

b Use the data from your graph to write a question that compares the numbers of grapes in the children’s bags

c Answer the question you wrote in part (b)

Mark your answers to multiple-choice questions 19 through 21 in the spaces provided in your Student Answer Booklet Do not write your answers in this test booklet You may do your figuring in the test booklet.

ID:221969 A Common EQ

 ●19 At a local fair in Massachusetts, Jan had

$10.00 to spend She spent $4.75 on video

games, $1.25 on a large popcorn, and

$0.75 on a small lemonade How much

money did Jan have left?

A $3.25

B $4.75

C $6.75

D $16.75

ID:258214 B Common EQ

 ●20 There are 29 students in a class No more

than 6 students can sit at a lunch table

What is the least number of tables

needed to seat the 29 students?

A 4

B 5

C 6

D 7

ID:258297 D Common

 ●21 Fatima is making a poster The list below

shows the numbers of different pencils, markers, and crayons she can use

• 2 pencils

• 4 markers

• 4 crayons

How many different combinations of

1 pencil, 1 marker, and 1 crayon can Fatima use to make her poster?

A 8

B 10

C 24

D 32

During testing, students were provided additional tool kit pieces to answer test items that are not released

Massachusetts Comprehensive Assessment System

Grade 4 Mathematics Tool Kit

ELEMENTAR T TA ARY RY RY & SECONDAR Y Y & RY RY Y Y

ELEMENTARY & SECONDARY

Massachusetts Department of

1

x

x

x x

3

o o

o

2 5

4